You will need more gates. One quad AND will not be sufficient. Some XOR functions will be necessary to evaluate the NOT conditions, as well as some NOR and NAND gates. One three input NAND, for instance, will be TRUE for X'*Y'*Z' as inputs.

You will need more gates. One quad AND will not be sufficient. Some XOR functions will be necessary to evaluate the NOT conditions, as well as some NOR and NAND gates. One three input NAND, for instance, will be TRUE for X'*Y'*Z' as inputs.